38468488528800 has 2304 divisors, whose sum is σ = 167324490547200. Its totient is φ = 8490645504000.

The previous prime is 38468488528777. The next prime is 38468488528801. The reversal of 38468488528800 is 882588486483.

It is a happy number.

38468488528800 is a `hidden beast` number, since 3 + 8 + 4 + 68 + 488 + 5 + 2 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38468488528801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15151037931 + ... + 15151040469.

It is an arithmetic number, because the mean of its divisors is an integer number (72623476800).

Almost surely, 2^{38468488528800} is an apocalyptic number.

38468488528800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38468488528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83662245273600).

38468488528800 is an abundant number, since it is smaller than the sum of its proper divisors (128856002018400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38468488528800 is a wasteful number, since it uses less digits than its factorization.

38468488528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 754974720, while the sum is 72.

The spelling of 38468488528800 in words is "thirty-eight trillion, four hundred sixty-eight billion, four hundred eighty-eight million, five hundred twenty-eight thousand, eight hundred".